If both 112 and 33 are factors of the number a 43 62 1311, what is the

1.	If both 112 and 33 are factors of the number a 43 62 1311, what is the smallest possible value of a'?
Answer» Answer: Step-by-step explanation: 112 = 16 * 7 33 = 11 * 3 a * 43 * 62 * 1311 = (2 ^4 * 7) * k1 a * 43 * 31 * 2 * 1311 = (2^4 7) k1 a * 43 * 31 * 2 * 3 437 = (2^4 7) * k1 therefore MINIMUM VALUE of a shud be 2^3 * 7 = 56 for the second factor, a * 43 * 62 * 1311 = (11 * 3) * k2 a * 43 * 31 * 2 * 3 437 = (11 3) * k2 so min = 11 on the WHOLE it shud be 56 * 11 = 616

If both 112 and 33 are factors of the number a 43 62 1311, what is the smallest possible value of a'?

Answer»

Answer:

Step-by-step explanation:

112 = 16 * 7

33 = 11 * 3

a * 43 * 62 * 1311 = (2 ^4 * 7) * k1

a * 43 * 31 * 2 * 1311 = (2^4 *7) * k1

a * 43 * 31 * 2 * 3 *437 = (2^4 *7) * k1

therefore MINIMUM VALUE of a shud be 2^3 * 7 = 56

for the second factor,

a * 43 * 62 * 1311 = (11 * 3) * k2

a * 43 * 31 * 2 * 3 *437 = (11 * 3) * k2

so min = 11

on the WHOLE it shud be 56 * 11 = 616

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If both 112 and 33 are factors of the number a 43 62 1311, what is the smallest possible value of a'?

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